91Ó°ÊÓ

The perimeter of a triangle is 100 feet. The longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. Find the lengths of the sides of the triangle.

Solve each of the equations. $$\frac{x-1}{2}-1=\frac{3}{4}$$

How many liters of a \(10 \%\) salt solution must be mixed with 15 liters of a \(40 \%\) salt solution to obtain a \(20 \%\) salt solution?

Set up an equation and solve each problem. (Objectives 2 and 3) Magda bought a dress for \(\$ 140\), which represents a \(20 \%\) E discount of the original price. What was the original price of the dress?

A triangular plot of ground has a perimeter of 54 yards. The longest side is twice the shortest side, and the third side is 2 yards longer than the shortest side. Find the lengths of the sides of the triangle.

Solve each of the equations. $$-2+\frac{x+3}{4}=\frac{5}{6}$$

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) Find the area of a circular region if the circumference is \(12 \pi\) units. Express the answer in terms of \(\pi\).

Solve each of the equations. $$-3-\frac{x+4}{5}=\frac{3}{2}$$

Thirty ounces of a punch that contains \(10 \%\) grapefruit juice is added to 50 ounces of a punch that contains \(20 \%\) grapefruit juice. Find the percent of grapefruit juice in the resulting mixture.

Set up an equation and solve each problem. (Objectives 2 and 3) Find the cost of a \(\$ 4800\) wide-screen high-definition television that is on sale for \(25 \%\) off.